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A Biphasic 3D-FEM Model for the Remodeling of Microcirculation in Liver Lobes

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Computer Models in Biomechanics

Abstract

In this study we focus on a 3D computational model for the description of microperfusion and its application in liver lobes. The remodeling of microperfusion is initiated after a venous outflow obstruction. In particular, focal hepatovenous outflow obstruction can be caused by liver resection. Drainage of the obstructed territories is reestablished via dilatation of sinusoids connecting outflow obstructed territories to territories with normal hepatovenous outflow. Microperfusion is modeled by a homogenized biphasic approach based on the theory of porous media, see Ricken et al. (Biomech. Model. Mechanobiol. 9:435–450, 2010). Regarding the remodeling of microcirculation we make use of the phenomenological hypothesis that the blood pressure gradient is the main driving force for the formation of sinusoidal vascular canals. We recall the constitutive relations for the biphasic model including the solid stress, the transverse isotropic permeability law, and the remodeling algorithm. Finally, we present a numerical three-dimensional example covering microcirculation in seven liver lobes. After calculating the physiological status of the microcirculation in the liver lobes, we tested the hypothesis that the reorientation of blood flow mainly depends on the pressure gradient. Our findings support this hypothesis due to good agreement between experimental observation and computational results. Further investigations are needed to analyze functional processes such as cell metabolism.

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Authors and Affiliations

  1. Institute of Statics Mechanics Dynamics, TU Dortmund University, August-Schmidt-Str. 6, 44227, Dortmund, Germany

    Tim Ricken & Daniel Q. Werner

  2. Department of General, Visceral and Transplantation Surgery, University Hospital Jena, Drackendorfer Str. 1, 07747, Jena, Germany

    Uta Dahmen

  3. Institute of Pathology, University Hospital Jena, Ziegelmühlenweg 1, 07747, Jena, Germany

    Olaf Dirsch

Authors
  1. Tim Ricken
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  2. Uta Dahmen
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  3. Olaf Dirsch
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  4. Daniel Q. Werner
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Corresponding author

Correspondence to Tim Ricken .

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Editors and Affiliations

  1. Institute of Biomechanics, Center of Biomedical Engineering, Graz University of Technology, Kronegasse 5-I, Graz, 8010, Austria

    Gerhard A. Holzapfel

  2. Dept. Mechanical Engineering, Dept. of Bioengineering (courtesy), Stanford University, Lomita Mall 496, Stanford, 94305-4040, California, USA

    Ellen Kuhl

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Ricken, T., Dahmen, U., Dirsch, O., Werner, D.Q. (2013). A Biphasic 3D-FEM Model for the Remodeling of Microcirculation in Liver Lobes. In: Holzapfel, G., Kuhl, E. (eds) Computer Models in Biomechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5464-5_20

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  • DOI: https://doi.org/10.1007/978-94-007-5464-5_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-5463-8

  • Online ISBN: 978-94-007-5464-5

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